?Serure https://www.mathxl.com/Stu aspx 487658que trueRcld 5042731 MAT 103/BA 81

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?Serure https://www.mathxl.com/Stu aspx 487658que trueRcld 5042731 MAT 103/BA 81381 mahnam anjum & 6/25/18 10:59 PM Homework: HW #8: The 2-Sample z & t-tests & Conf Interval Score: 0 of 1 pt 13.5.328 Save 5 of 8 (4 complete) Hw Score: 40.83%, 3.27 of 8 pts Question Help , In baseball, league A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In league B, the pitcher must bat. The common belief is that this results in league A teams scoring more runs. In interleague play when league A teams visit league B teams, the league A pitcher must bat so if the DH does result in more runs woud be expected that league A team$ will score Tewer run$ when ?isiting league B parks. To test this claim a random se = 2.6. sample of runs scored by league A teams with and wihout their DH s ven In the accompanying table. Does the designated hitter result in more runs scored st the x- 0.01 level of signlficance? Note that .,A5,x4.3, and ?Click the icon to view the data table i Sample of Runs Determine the null and altemative hypotheses for this test. Full data set League A Park (with DH) 1 3 7 6 4 4 12 5 6 13 6 9 56 7 6 14 14 7 League B Park (without DH) Determine the P-value for this test. P-value (Round to three decimal places as needed.) 8 8 210 4 4 341 9 3 5 13 3 Enter your answer in the answer box and then click Check Answer part remaining Check Answer 10:59 PM 5/25/201

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 > 0
(with pooled variances)

Hypothesis test results:

Hence,

P - value = 0.019

Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 1.7 0.79603183 58 2.135593 0.0185

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